Prove Line Segments Equal

How do you prove congruent segments?

• Slopes

• distance formula

• Pythagorean theorem

• Pythagorean theorem or distance formula

• F

• G

• H

• J

Which property justifies the next step?

• Symmetric Property

• Segment Addition Postulate

• Definition Midpoint

• Definition Congruence

Why do we know what is shown in the picture is true?

• Definition of Congruent Segments

• Definition of Midpoint

• Segment Addition Postulate

• Segment Bisector Theorem

Answer explanation

If the segments are congruent then the measurements are equal. This is all because of the definition of congruent segments.

Fill in the reason for 5. 

• Addition Postulate

• Substitution property

• Definition of midpoint

• Segment Addition Postulate

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

What reason justifies statement #8?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Which property justifies the next step?

• Definition of congruent segments

• Segment addition postulate

• Transitive thm of seg. congruence

• Definition of equality

Which property justifies the next step?

• Symmetric Property

• Transitive Property

• Segment Addition Property

• Reflexive Property

Which property justifies the next step?

• Definition Congruence

• Segment Addition Post

• Transitive Property

• Definition Equality